Simple Harmonic Motion

$T = 2\pi mk^2$

$T = \frac{k}{m}$

$T = \frac{\sqrt{mk}}{\pi^2}$

$T = 2\pi \sqrt{\frac{m}{k}}$

The period remains unchanged.

The period increases by a factor of 4.

The period doubles and then quadruples.

The period increases by a factor of 2.

The period decreases.

The period increases.

The period remains unchanged.

There is not enough information to determine the effect on period.

gravitational field

mass

amplitude

spring stiffness or constant

Cannot be determined

Sometimes

true

false

Kinetic to gravitational potential

Chemical to gravitational potential

Thermal to kinetic

Gravitational potential to thermal

The parallel springs result in half the period compared to one less stiff spring.

The parallel springs result in four times shorter period than one less stiff spring's period.

The parallel springs have twice the period compared to one less stiff spring.

They have equivalent periods for oscillation.

There's negligible change given that external forces don't typically influence oscillators' intrinsic characteristics significantly enough for noticeable impact.

Oscillation periods are substantially shortened since external force applications enhance system dynamics propelling faster cycles consequentially.

Resonance takes place, resulting in dramatically increased oscillation amplitudes.

The oscillator rapidly comes to rest due to destructive interference effects occasioned by the external force application.

The spring stiffness constant (k).

The gravitational acceleration (g).

The mass (m) attached to the spring.

The elongation from equilibrium position (x).

Thermometer

Stopwatch

Ruler

Caliper